Albanians in Kosovo do have some basis for asking for self-determination since they are the majority of Kossovo for several centuries. Still, their case is not obvious, which is why some countries recognize Kosovo and some don't, and the case is now in the ICJ to resolve that question, since both sides believe that they have chances in winning the case in the ICJ.
Piratis
Unlike the rest of the world you seem to think that self-determination os a claim that can only be made by an ethnic majority. Wrong. The right to self-determination as embodied in international law is (perhaps, frustratingly) vague. There is no definitive reference to numbers, to proportions, to minorities or majorities. You might think it should only apply to majorities but that's your problem. Are you really meaning what you say about self-determination and majorities ? The Armenians before and after the 1915 genocide were a minority in Ottoman Turkey and, by your reasoning, they would not have the right to self-determination because they were not a majority. The Kurds are a minority in Turkey. By your reasoning - right of self-determination for majorities and not minorities - Turkey is quite right in suppressing and denying Kurdish self-determination. (Of course Armenians and Kurds and Albanians and Kosovans and Serbs and Turkish Cypriots and Greek Cypriots are very different with different histories but isn't it curious that the issue of minority/majority status means that we can compare different cases and test them in law ?)
Second, Kosovo appeals for self-determination is not centuries old, it is actually rather recent, albeit with some nineteenth century traces.
Third, your final sentence suggest again that you don't actually know the basis of the ICJ case (and/or didn't read my first post on this thread). The request for an ICJ advisory opinion did not come from 'both sides' and is being heard irrespective of the 'both sides believ[ing] that they have a chance of winning.' First the court is giving an opinion not a judgment. Second, therefore, it is not a question of anyone 'winning'. Third, the request to the ICJ to consider the question came from Ban Ki-Moon not from either Serbia or Kosovo, and therefore neither S. nor K submitted the question for testing, judging, arbitration or opinion.
(More to the point this thread started with a question about why TCs didn't 'pursue' the ICJ. My response, which you Piratis have hijacked and distorted, was to explain why TCs couldn't do so. For some unfathomable reason Piratis keeps jumping up and down saying that Kosovo is irrelevant to TRNC. He protesteth too much. As I read it Piratis' basic reaction to the thread question "T/C why have they not pursude the ICJ" is because he, Piratis, doesn't want them to, that they have no substantive grounds to do so. My response is, whether or not TCs have some substantive grounds, they neither have standing or legal personality to do so and therefore cannot submit to the ICJ. Boring I know, but no less true for that).